Songdog,
Again, I may be applying a process to electric bass strings that shouldn't be applied so YMMV. But I have, for example, found that I can -sometimes- fix a rattling E-string by putting in a twist. So I've made it a habit of twisting each string 1/2 a turn while restringing. Piano technicians even a special tool to apply the twist which can be seen in this video (around 6:00):
"In the direction of the outer winding" means determining the direction that winding is going. In the pic below you can see the final turn of the outer winding on my Boomers. For these strings my twist direction is counter-clockwise when looking at it from the tailpiece side - in an attempt to help keep that outer winding under some additional tension. And again this might just be superstition at this point because here's the other complication... I think our larger gauge strings may have more than one layer of windings and I don't know if they all go in the same direction. So I may think I'm tightening the outer winding while I'm actually loosening an inner one.
I don't know. It's just an old habit which I can't seem to break. Maybe I shouldn't have mentioned it.
Ash, you may be over-thinking the tailpiece question but don't let me discourage your creativity. Alembic can make anything you can think up! My inclination is that you simply need a way to secure this end of the string firmly to the body. So the tailpiece could be anything from a vice-grip clamp to a titanium fishhook (ok maybe not strong enough). The stock tailpiece certainly does a good job and is the more universal choice in case you ever run into a string with an unusual ball-end. For example, my fretless bass has an old set of RotoSound "Superwound" bare-core strings which came with
adjustable ball ends. A small "pipe" with Allen screws on either side which is used as a clamp allowing you to choose the exact length of bare core from the end of the winding to the tailpiece. I have a whole 'nother bizarre bridge/tailpiece setup on that bass but don't ask.
Jimmy J